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* Hundreds of practice study questions written by experienced AP educators. * References linking key AP test topics to the corresponding chapter and section of Stats: Modeling the World, Third Edition. $Į) Based upon these statistics, how effective do you think SAT scores would be in predicting academic success during the first semester of the freshman year at this college? Explain.į) As a student, would you rather have a positive or a negative residual in this context? Explain.Test Prep includes: * An overview of the AP program, the AP Statistics test, test taking tips and strategies to prepare you for peak performance on the exam. $ A scatterplot showed the association to be reasonably linear, and the correlation between $S A T$ score and $G P A$ was $0.47$.Ī) Write the equation of the regression line.ī) Explain what the $y$ -intercept of the regression line indicates.Ĭ) Interpret the slope of the regression line.ĭ) Predict the GPA of a freshman who scored a combined $2100. In the first semester these students attained a mean GPA of $2.66$, with a standard deviation of $0.56.
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Suppose the entering freshmen at a certain college have mean combined SAT Scores of 1833, with a standard deviation of 123. Based on this model, what would be that student's Math score residual?Ĭolleges use SAT scores in the admissions process because they believe these scores provide some insight into how a high school student will perform at the college level. G) Every year some student scores a perfect 1600. Write the equation of the regression line.į) Predict the math score of a student with a verbal score of $500.
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Interpret this statistic.ĭ) These verbal scores averaged $596.3$, with a standard deviation of $99.5$, and the math scores averaged 612.2, with a standard deviation of $96.1$. Doing the SAT-Math problems also involves the ability to read and understand the questions, but can a person's verbal score be used to predict the math score? Verbal and math SAT scores of a high school graduating class are displayed in the scatterplot, with the regression line added.ī) Are there any students whose scores do not seem to fit the overall pattern?Ĭ) For these data, $r=0.685$. Tests are given in both Math and Verbal areas. SAT scores are between 200 and 800, but have no units. The SAT is a test often used as part of an application to college. The standard deviations are $\$ 23.86$ million for mortgage amounts and $2.58 \%$ for the interest rates.Ī) Is a regression model appropriate for predicting mortgage amount from interest rates? Explain.ī) What is the equation that predicts mortgage amount from interest rates?Ĭ) What would you predict the mortgage amount would be if the interest rates climbed to $20 \%$ ?ĭ) Do you have any reservations about your prediction in part c?Į) If we standardized both variables, what would be the regression equation that predicts standardized mortgage amount from standardized interest rates?į) If we standardized both variables, what would be the regression equation that predicts standardized interest rates from standardized mortgage amount? The mean mortgage amount is $\$ 151.9$ million and the mean interest rate is $8.88 \%$. We saw a plot of total mortgages in the United States (in millions of 2005 dollars) versus the interest rate at various times over the past 26 years. $ How far off is the prediction in b) from the actual HCI?Į) If we standardized both variables, what would be the regression equation that predicts standardized HCI from standardized MFI?į) If we standardized both variables, what would be the regression equation that predicts standardized MFI from standardized HCI? The mean MFI is $\$ 46,234$, with a standard deviation of $\$ 7072.47$.Ī) Is a regression analysis appropriate? Explain.ī) What is the equation that predicts Housing Cost Index from median family income?Ĭ) For a state with $\mathrm=\$ 44,993$, what would be the predicted HCI?ĭ) Washington, DC, has an MFI of $\$ 44,993$ and an HCI of $548.02. The mean HCI is $338.2$, with a standard deviation of $116.55$. Here's a scatterplot (by state) of the Housing Cost Index (HCI) versus the Median Family Income (MFI) for the 50 states. We learned that the Office of Federal Housing Enterprise Oversight (OFHEO) collects data on various aspects of housing costs around the United States.